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Finding the Fourth Proportional to 5,286.06, 7,931.16 and 2,000.04

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Solution

The fourth proportional to 5,286.06, 7,931.16 and 2,000.04 is: 3,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.06 : 7,931.16 = 2,000.04 : x
  2. Step 2: Convert to fraction form
    5,286.06/7,931.16 = 2,000.04/x
  3. Step 3: Cross multiply
    5,286.06x = 7,931.16 × 2,000.04
  4. Step 4: Simplify right side
    5,286.06x = 15,862,637.25
  5. Step 5: Solve for x
    x = 15,862,637.25/5,286.06
  6. Step 6: Final answer
    x = 3,000.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.